900000=x^2*10

Solution for 900000=x^2*10 equation:

900000=x^2*10

We move all terms to the left:

900000-(x^2*10)=0

We get rid of parentheses

-x^2*10+900000=0

Wy multiply elements

-10x^2+900000=0

a = -10; b = 0; c = +900000;
Δ = b2-4ac
Δ = 02-4·(-10)·900000
Δ = 36000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36000000}=6000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6000}{2*-10}=\frac{-6000}{-20}
=+300
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6000}{2*-10}=\frac{6000}{-20}
=-300
$